How close are we do using alts in Follower Dungeons?

I think it would be easy in that case, but only if the alts are paladin tank, druid healer, mage DPS, and shaman DPS. Then you would just change their morph ID and copy the customization options.

Although, apparently there are story mode raids. How do those work? Do they have all classes

It would be immersion breaking if my druid said anything helpful. Mostly he just puts rejuvenate on the tank and says “Go, cutie!”